Is 3038 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 3038 is composite or not first we have to find its factors.
Contents
Factors of 3038:
- If we have taken numbers from 1, 2, 3…for checking factors of 3038, we found that 3038 has factors 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038. Hence, we must say that 3038 is a composite number.
- Thus, 3038 is the composite number.
- If we multiply 3038 by 1, 2, 3 then we get the multiples of 3038 which are 3038, 6076 and so on.
About the number 3038:
- 3038 has more than two factors which are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038 and hence it is the composite number.
- 3038 is the even composite number and it is not the perfect square also.
- If we divide 3038 by, 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038 then we get remainder as zero. Hence, 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038 are the factors of 3038.
Note:
- 3038 is not the perfect square.
- Factors of 3038: 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038
- Prime factors of 3038: 2, 7, 31
Conclusion:
- 3038 is the composite number which has factors, 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038
- And hence, 3038 is not the prime number.
Multiple Choice Questions:
1) 3038 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3038 are
a) 3038
b) 2, 7, 31
c) 14, 49, 62, 98, 217, 434, 1519 and 3038
d) 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038
Ans: c) 14, 49, 62, 98, 217, 434, 1519 and 3038
3) 3038 is even composite number because
a) It has factors 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519 and 3038
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c